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23681952 = 2532717691
BaseRepresentation
bin101101001010…
…1101110100000
31122120011112100
41122111232200
522030310302
62203330400
7405202410
oct132255640
948504470
1023681952
1112405668
127b20a00
134ba22b8
143206640
15212bd1c
hex1695ba0

23681952 has 144 divisors (see below), whose sum is σ = 81611712. Its totient is φ = 6359040.

The previous prime is 23681947. The next prime is 23681971. The reversal of 23681952 is 25918632.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33927 + ... + 34617.

It is an arithmetic number, because the mean of its divisors is an integer number (566748).

Almost surely, 223681952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40805856).

23681952 is an abundant number, since it is smaller than the sum of its proper divisors (57929760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23681952 is a wasteful number, since it uses less digits than its factorization.

23681952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 23681952 is about 4866.4105868700. The cubic root of 23681952 is about 287.1700643581.

The spelling of 23681952 in words is "twenty-three million, six hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 691 714 816 952 1008 1071 1224 1382 1428 1632 1904 2016 2073 2142 2448 2764 2856 3808 4146 4284 4837 4896 5528 5712 6219 8292 8568 9674 11056 11424 11747 12438 14511 16584 17136 19348 22112 23494 24876 29022 33168 34272 35241 38696 43533 46988 49752 58044 66336 70482 77392 82229 87066 93976 99504 105723 116088 140964 154784 164458 174132 187952 199008 211446 232176 246687 281928 328916 348264 375904 422892 464352 493374 563856 657832 696528 740061 845784 986748 1127712 1315664 1393056 1480122 1691568 1973496 2631328 2960244 3383136 3946992 5920488 7893984 11840976 23681952